SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2851, 2548, 466, 2522, 2153, 621, 2852, 
    619, 620, 680, 679, 681, 976, 975, 977, 
    289, 2670, 335, 332
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00098

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "26.61"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 38,
      "rows_produced_per_join": 38,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2851,2548,466,2522,2153,621,2852,619,620,680,679,681,976,975,977,289,2670,335,332)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "22.81",
        "eval_cost": "3.80",
        "prefix_cost": "26.61",
        "data_read_per_join": "64K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
289 100-ml-stakan-100-ml-100-4000-stp 290/293/584
332 200-ml-stakan-200-ml-eko-belyy-introplastik-100-3000 290/293/584
335 200-ml-stakan-prozrachnyy-eko-200-ml-pp-stp-100-3000-sht 290/293/584
466 vilka-185-chernaya-48-2016 290/293/580
619 lozhka-165-prozrachnye-introplastik-100-2200 290/293/581
620 lozhka-185-chernaya-48-2016 290/293/581
621 lozhka-chaynaya-100-2000 290/293/581
679 nozh-165-belyy-introplastik-100-2000 290/293/582
680 nozh-165-prozrachnyy-introplastik-100-2000 290/293/582
681 nozh-185-chernyy-48-2016 290/293/582
975 razmeshivatel-12-sm-belyy-500-12000-rossiya 290/293/583
976 razmeshivatel-derevyan-dlya-kofe-140mm-1000sht-up 290/575
977 razmeshivatel-derevyannyy-180-mm-1000sht-up 290/575
2153 lozhka-skladnaya-belaya-10-7-sm-h400-rossiya 290/293/581
2522 vilka-180-mm-kristall-cvet-prozrachnyy-vzlp-50-2500 290/293/580
2548 vilka-165-mm-stolovayakompakt-ps-cvet-chernyy-h100-2000 290/293/580
2670 stakan-kristall-cvet-prozr-200ml-ozlp-vzlp-h50-1000 290/293/584
2851 vilka-165-mm-stolovaya-kompakt-ps-cvet-belyy-ozlp-vzlp-1-100 290/293/580
2852 lozhka-165-mm-stolovaya-kompakt-ps-cvet-belyy-ozlp-vzlp-1-100-2000 290/293/581